English Deutsch Français Italiano Español Português 繁體中文 Bahasa Indonesia Tiếng Việt ภาษาไทย
All categories

I've to prepare my maths project, i'm in 9th std.

2007-05-08 02:43:33 · 6 answers · asked by Nehal D. Das 1 in Science & Mathematics Mathematics

6 answers

By definition, pi is the ratio of the circumference of a circle to its diameter. Pi is always the same number, no matter which circle you use to compute it.

For the sake of usefulness people often need to approximate pi. For many purposes you can use 3.14159, which is really pretty good, but if you want a better approximation you can use a computer to get it. Here's pi to many more digits: 3.14159265358979323846.

The area of a circle is pi times the square of the length of the radius, or "pi r squared":

A = pi*r^2

A very brief history of pi

Pi is a very old number. We know that the Egyptians and the Babylonians knew about the existence of the constant ratio pi, although they didn't know its value nearly as well as we do today. They had figured out that it was a little bigger than 3; the Babylonians had an approximation of 3 1/8 (3.125), and the Egyptians had a somewhat worse approximation of 4*(8/9)^2 (about 3.160484), which is slightly less accurate and much harder to work with. For more, see A History of Pi by Petr Beckman (Dorset Press).

The modern symbol for pi [] was first used in our modern sense in 1706 by William Jones, who wrote:

There are various other ways of finding the Lengths or Areas of particular Curve Lines, or Planes, which may very much facilitate the Practice; as for instance, in the Circle, the Diameter is to the Circumference as 1 to (16/5 - 4/239) - 1/3(16/5^3 - 4/239^3) + ... = 3.14159... = (see A History of Mathematical Notation by Florian Cajori).

Pi (rather than some other Greek letter like Alpha or Omega) was chosen as the letter to represent the number 3.141592... because the letter [] in Greek, pronounced like our letter 'p', stands for 'perimeter'.
About Pi
Pi is an infinite decimal. Unlike numbers such as 3, 9.876, and 4.5, which have finitely many nonzero numbers to the right of the decimal place, pi has infinitely many numbers to the right of the decimal point.

If you write pi down in decimal form, the numbers to the right of the 0 never repeat in a pattern. Some infinite decimals do have patterns - for instance, the infinite decimal .3333333... has all 3's to the right of the decimal point, and in the number .123456789123456789123456789... the sequence 123456789 is repeated. However, although many mathematicians have tried to find it, no repeating pattern for pi has been discovered - in fact, in 1768 Johann Lambert proved that there cannot be any such repeating pattern.

As a number that cannot be written as a repeating decimal or a finite decimal (you can never get to the end of it) pi is irrational: it cannot be written as a fraction (the ratio of two integers).

2007-05-08 02:52:41 · answer #1 · answered by cmmohon2000 1 · 0 0

The mathematical constant π is a transcendental (and therefore irrational) real number, approximately equal to 3.14159, which is the ratio of a circle's circumference to its diameter in Euclidean geometry, and has many uses in mathematics, physics, and engineering. It is also known as Archimedes' constant (not to be confused with an Archimedes number) and as Ludolph's number.

HISTORY:

The Indian mathematician and astronomer Aryabhata in the 5th century gave the approximation π = 62832⁄20000 = 3.1416, correct when rounded off to four decimal places. He also acknowledged the fact that this was an approximation, which is quite advanced for the time period.
The Indian mathematician and astronomer Madhava of Sangamagrama in the 14th century computed the value of π after transforming the power series of arctan(1)=π⁄4 into the form and using the first 21 terms of this series to compute a rational approximation of π correct to 11 decimal places as 3.14159265359. By adding a remainder term to the original power series of π⁄4, he was able to compute π to an accuracy of 13 decimal places.

Indian mathematicians were first to calculate the accurate value of pi which is equal to the modern value.

I have given the best link below which sure to help u

2007-05-08 03:05:39 · answer #2 · answered by ADITYA S 2 · 0 0

pie is aratio of circumference of circle and diameter of the samecircle. pie = approximately 22/7. it is an irrationalnumber.

2007-05-08 05:55:40 · answer #3 · answered by jayashree d 2 · 0 0

A pie is a baked food, with a baked shell usually made of pastry that covers or completely contains a filling of meat, fish, vegetables, fruit, cheeses, creams, chocolate, custards, nuts, or other sweet or savoury ingredients. Pies can be either "one-crust," where the filling is placed in a dish and covered with a pastry/potato mash top before baking, or "two-crust," with the filling completely enclosed in the pastry shell. Some pies have only a bottom crust, generally if they have a sweet filling that does not require cooking. These bottom-crust-only pies may be known as tarts or tartlets. An example of a bottom-crust-only pie that is savoury rather than sweet is a quiche. Tarte Tatin is a one-crust fruit pie that is served upside-down, with the crust underneath. Blind-baking is used to develop a crust's crispiness, and keep it from becoming soggy under the burden of a very liquid filling. If the crust of the pie requires much more cooking than the chosen filling, it may also be blind-baked before the filling is added and then only briefly cooked or refrigerated. Pie fillings range in size from tiny bite-size party pies or small tartlets, to single-serve pies (e.g. a pasty) and larger pies baked in a dish and eaten by the slice. The type of pastry used depends on the filling. It may be either a butter-rich flaky or puff pastry, a sturdy shortcrust pastry, or, in the case of savoury pies, a hot water crust pastry.

Occasionally the term pie is used to refer to otherwise unrelated confections containing a sweet or savoury filling, such as Eskimo pie or moon pie.

Contents [hide]
1 Regional variations
2 History
3 Pie throwing
4 Savoury pies
5 Sweet pies
6 See also
7 External links



Regional variations
Pies with fillings such as pork, steak and kidney, minced beef or chicken and mushroom are popular in the United Kingdom as take-away snacks. They are also served with chips as an alternative to fish and chips at British chip shops. The residents of Wigan are so renowned for their preference for this food-stuff that they are often referred to as "Pie Eaters" (though the historical reasons for this title are disputed). In honour of this, the main ingredient of a 'Wigan kebab' is the pie, which is placed in a barm cake to make up the popular local delicacy. The combination of pie and mash is traditionally associated with London. Shepherd's pie (which does not involve pastry) is also a favourite amongst people throughout Britain.

Fruit pies may be served with a scoop of ice cream, a style known in North America as à la mode. Apple pie is a traditional choice, though any pie with sweet fillings may be served à la mode. This pie is thought to have been popularized in the mid-1890s in the United States.

The Australian meat pie has an iconic cultural status, being held to be the Australian National Food[citation needed]. These meat pies contain beef and gravy in a shortcrust piecase, often with a flakey top. The many different types of small commercially-produced pies are popular forms of takeaway food in Australia and New Zealand, with one of the most widespread brands in Australia being Four'N Twenty Pie. Many bakeries and specialty stores sell gourmet pies for the more discriminating customer. A peculiarity of Adelaide cuisine is the Pie floater.


History
The pie has been around since about 2000 B.C., around the time of the ancient Egyptians. At some point between 1400 B.C. (the time of Greek settlements) and 600 B.C. (the time of the decline of Egypt), the pie is believed to have been passed on to the Greeks by the Egyptians.

From Greece the pie spread to Rome, somewhere around 100 B.C. by which time pies had already been around for some 1000 years. The first known pie recipe came from the Romans and was for a rye-crusted goat cheese and honey pie.

Pies appeared in England in the 12th century and were predominantly meat pies. The crust of the pie was referred to as the “coffyn” and there was generally more crust than filling. Sometimes these pies were made with fowl and the legs were left outside the pie to act as handles. For a long time the pastry crust was actually not eaten, serving only to preserve the moisture and flavour of the filling.

Pies went to America with the first English settlers. As in Roman times the early American pie crusts were not eaten, but simply designed to hold the filling. Today, virtually every country in the world has some form of pie.


Pie throwing
Cream filled or topped pies are favourite props for humour, particularly when aimed at the pompous. Throwing a pie in a person's face has been a staple of film comedy since the early days of the medium, and is often associated with clowns in popular culture. Pranksters have taken to targeting politicians and celebrities with their pies, an act called pieing. Activists sometimes engage in the pieing of political and social targets as well. One such group is the Biotic Baking Brigade. "Pieing" can result in injury to the target and assault or more serious charges against the pie throwers [1]. In Des Moines, Iowa, in 1977, singer and anti-gay-rights activist Anita Bryant became one of the first persons to be "pied" as a political act.[citation needed] See List of people who have been pied.

2007-05-08 17:04:49 · answer #4 · answered by Vishal 2 · 0 0

The correct spelling is pi. Here's all you need:

http://en.wikipedia.org/wiki/Pi

2007-05-08 02:52:08 · answer #5 · answered by Xiomy 6 · 0 0

I love cherry pie, oh...do you mean PI ?

2007-05-08 02:51:54 · answer #6 · answered by jon_mac_usa_007 7 · 1 0

fedest.com, questions and answers